Cryptology ePrint Archive: Report 2012/444

Factorization of a 1061-bit number by the Special Number Field Sieve

Greg Childers

Abstract: I provide the details of the factorization of the Mersenne number $2^{1061}-1$ by the Special Number Field Sieve. Although this factorization is easier than the completed factorization of RSA-768, it represents a new milestone for factorization using publicly available software.